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The Kalman filter provides an optimal estimation for a linear system with Gaussian noise. However when the noises are non-Gaussian in nature, its performance deteriorates rapidly. For non-Gaussian noises, maximum correntropy Kalman filter…

Optimization and Control · Mathematics 2023-02-07 Joydeb Saha , Shovan Bhaumik

In this article, a robust ensemble Kalman filter (EnKF) called MC-EnKF is proposed for nonlinear state-space model to deal with filtering problems with non-Gaussian observation noises. Our MC-EnKF is derived based on maximum correntropy…

Systems and Control · Electrical Eng. & Systems 2023-08-21 Yangtianze Tao , Jiayi Kang , Stephen Shing-Toung Yau

Nowadays, with the development of multi-sensor networks, the distributed cubature Kalman filter is one of the well-known existing schemes for state estimation, for which the influence of the non-Gaussian noise, abnormal data, and…

Signal Processing · Electrical Eng. & Systems 2025-11-24 Duc Viet Nguyen , Haiquan Zhao , Jinhui Hu

To date most linear and nonlinear Kalman filters (KFs) have been developed under the Gaussian assumption and the well-known minimum mean square error (MMSE) criterion. In order to improve the robustness with respect to impulsive (or…

Systems and Control · Computer Science 2019-04-18 Badong Chen , Lujuan Dang , Yuantao Gu , Nanning Zheng , Jose C. Prıncipe

Traditional Kalman filter (KF) is derived under the well-known minimum mean square error (MMSE) criterion, which is optimal under Gaussian assumption. However, when the signals are non-Gaussian, especially when the system is disturbed by…

Machine Learning · Statistics 2015-09-16 Badong Chen , Xi Liu , Haiquan Zhao , José C. Príncipe

Disturbance observers have been attracting continuing research efforts and are widely used in many applications. Among them, the Kalman filter-based disturbance observer is an attractive one since it estimates both the state and the…

Systems and Control · Electrical Eng. & Systems 2023-10-31 Shilei Li , Dawei Shi , Yunjiang Lou , Wulin Zou , Ling Shi

As a novel similarity measure that is defined as the expectation of a kernel function between two random variables, correntropy has been successfully applied in robust machine learning and signal processing to combat large outliers. The…

Machine Learning · Computer Science 2021-09-07 Badong Chen , Yuqing Xie , Xin Wang , Zejian yuan , Pengju Ren , Jing Qin

This paper investigates the robustness and optimality of the multi-kernel correntropy (MKC) on linear regression. We first derive an upper error bound for a scalar regression problem in the presence of arbitrarily large outliers and reveal…

Systems and Control · Electrical Eng. & Systems 2023-10-12 Shilei Li , Yunjiang Lou , Dawei Shi , Lijing Li , Ling Shi

Recent developments in the realm of state estimation of stochastic dynamic systems in the presence of non-Gaussian noise have induced a new methodology called the maximum correntropy filtering. The filters designed under the maximum…

Systems and Control · Computer Science 2017-09-06 Maria V. Kulikova

This work proposes a resilient and adaptive state estimation framework for robots operating in perceptually-degraded environments. The approach, called Adaptive Maximum Correntropy Criterion Kalman Filtering (AMCCKF), is inherently robust…

Conventional Kalman filtering (KF) approaches exhibit significant limitations in addressing nonlinear state estimation problems contaminated by non-Gaussian noise disturbances. To overcome these challenges, this work proposes a robust…

Signal Processing · Electrical Eng. & Systems 2026-05-25 Jinhui Hu , Haiquan Zhao , Yi Peng

State estimation is a fundamental problem for multi-sensor information fusion, essential in applications such as target tracking, power systems, and control automation. Previous research mostly ignores the correlation between sensors and…

Signal Processing · Electrical Eng. & Systems 2025-03-13 Weizhi Chen , Yaowen Li , Yu Liu , You He

As a robust nonlinear similarity measure in kernel space, correntropy has received increasing attention in domains of machine learning and signal processing. In particular, the maximum correntropy criterion (MCC) has recently been…

Machine Learning · Statistics 2016-07-12 Badong Chen , Lei Xing , Haiquan Zhao , Nanning Zheng , José C. Príncipe

A Conventional centralized state estimators exhibit limited robustness in large-scale grids and face practical deployment hurdles. To overcome these challenges, this paper proposes a decentralized maximum generalized Student's t-kernel…

Signal Processing · Electrical Eng. & Systems 2026-05-25 Jinhui Hu , Haiquan Zhao , Yi Peng

Distributed Kalman filter approaches based on the maximum correntropy criterion have recently demonstrated superior state estimation performance to that of conventional distributed Kalman filters for wireless sensor networks in the presence…

Signal Processing · Electrical Eng. & Systems 2023-09-06 Jiacheng He , Gang Wang , Xuemei Mao , Song Gao , Bei Peng

Sequential Bayesian filters in non-linear dynamic systems require the recursive estimation of the predictive and posterior distributions. This paper introduces a Bayesian filter called the adaptive kernel Kalman filter (AKKF). With this…

Signal Processing · Electrical Eng. & Systems 2023-04-12 Mengwei Sun , Mike E. Davies , Ian K. Proudler , James R. Hopgood

Wireless sensor networks (WSNs) represent a critical research domain within the Internet of Things (IoT) technology. The distributed Kalman filter (DKF) has garnered significant attention as an information fusion method for WSNs. However,…

Signal Processing · Electrical Eng. & Systems 2025-03-11 Xuemei Mao , Gang Wang , Bei Peng , Jiacheng He , Kun Zhang , Song Gao , Jian Chen

As a well-established adaptation criterion, the maximum correntropy criterion (MCC) has been receiving increasing attention due to its robust against outliers. In this paper, a new complex recursive maximum correntropy (CRMC) algorithm…

Systems and Control · Computer Science 2017-02-27 Lu Lu , Haiquan Zhao

This letter explores covariance matching-based adaptive robust cubature Kalman filter (CMRACKF). In this method, the innovation sequence is used to determine the covariance matrix of measurement noise that can overcome the limitation of…

Systems and Control · Electrical Eng. & Systems 2021-06-22 Mundla Narasimhappa , Sesham Srinu

We consider the problem of robust estimation involving filtering and smoothing for nonlinear state space models which are disturbed by heavy-tailed impulsive noises. To deal with heavy-tailed noises and improve the robustness of the…

Applications · Statistics 2020-12-01 Hongwei Wang , Hongbin Li , Junyi Zuo , Wei Zhang , Heping Wang
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